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Simplifying 3(3m + -3) = 2(3m + 3) Reorder the terms: 3(-3 + 3m) = 2(3m + 3) (-3 * 3 + 3m * 3) = 2(3m + 3) (-9 + 9m) = 2(3m + 3) Reorder the terms: -9 + 9m = 2(3 + 3m) -9 + 9m = (3 * 2 + 3m * 2) -9 + 9m = (6 + 6m) Solving -9 + 9m = 6 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -9 + 9m + -6m = 6 + 6m + -6m Combine like terms: 9m + -6m = 3m -9 + 3m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -9 + 3m = 6 + 0 -9 + 3m = 6 Add '9' to each side of the equation. -9 + 9 + 3m = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 3m = 6 + 9 3m = 6 + 9 Combine like terms: 6 + 9 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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